The cellular ansatz: bijective combinatorics and quadratic algebra by Xavier Viennot

# playlist (click the video's upper-left icon) 

source: matsciencechannel
Website for the course: http://www.viennot.org
This series of lectures is at the crossroad of algebra, combinatorics and theoretical physics. I shall expose a new theory I call "cellular Ansatz", which offers a framework for a fruitful relation between quadratic algebras and combinatorics, extending some very classical theories such as the Robinson-Schensted-Knuth (RSK) correspondence between permutations and pairs of standard Young tableaux.